Is y = 2 a function?

The director of an animal shelter need to raise more than $50,000 during a fundraiser. Write an inequality that represents the a

mr_godi [17]

Answer:

m > 50,000

This means the money, m, will be greater than 50,000

5 0

2 years ago

Write the equation of the center (2,5) and passes through the point (8,5)

BARSIC [14]

Answer: varibles coffeeefishents exponets study then eat

Step-by-step explanation:

3 0

2 years ago

A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of

finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

Diameter = 18 cm

r = 18÷ 2 = 9 cm

h = 12 cm

$\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}$

= π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

$\sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}$

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

$\sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12$

$\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}$

6 0

1 year ago

Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg

Norma-Jean [14]

Answer:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop</em>

<em>Point of intersection: (x,y) = (4,360)</em>

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295</em>

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

<em>Amy's repair shop: </em>

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

<em>Part 2)</em>